Title

Emergent Irreversibility and Entanglement Spectrum Statistics

Authors

Authors

C. Chamon; A. Hamma;E. R. Mucciolo

Comments

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Abbreviated Journal Title

Phys. Rev. Lett.

Keywords

QUANTUM-SYSTEMS; TRANSITION; INSULATOR; DYNAMICS; Physics, Multidisciplinary

Abstract

We study the problem of irreversibility when the dynamical evolution of a many-body system is described by a stochastic quantum circuit. Such evolution is more general than a Hamiltonian one, and since energy levels are not well defined, the well-established connection between the statistical fluctuations of the energy spectrum and irreversibility cannot be made. We show that the entanglement spectrum provides a more general connection. Irreversibility is marked by a failure of a disentangling algorithm and is preceded by the appearance of Wigner-Dyson statistical fluctuations in the entanglement spectrum. This analysis can be done at the wave-function level and offers an alternative route to study quantum chaos and quantum integrability.

Journal Title

Physical Review Letters

Volume

112

Issue/Number

24

Publication Date

1-1-2014

Document Type

Article

Language

English

First Page

5

WOS Identifier

WOS:000337734700001

ISSN

0031-9007

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